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13100132032037 is a prime number
BaseRepresentation
bin1011111010100001110010…
…1101110101111000100101
31201101100201201120210102122
42332220130231311320211
53204113032300011122
643510041221315325
72521311325003061
oct276503455657045
951340651523378
1013100132032037
1141a080a015486
121576a87865b45
1374044c94550b
1433409a814aa1
1517ab702a2142
hexbea1cb75e25

13100132032037 has 2 divisors, whose sum is σ = 13100132032038. Its totient is φ = 13100132032036.

The previous prime is 13100132032003. The next prime is 13100132032087. The reversal of 13100132032037 is 73023023100131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12984772626721 + 115359405316 = 3603439^2 + 339646^2 .

It is a cyclic number.

It is not a de Polignac number, because 13100132032037 - 210 = 13100132031013 is a prime.

It is a super-2 number, since 2×131001320320372 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13100132031997 and 13100132032015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13100132032087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550066016018 + 6550066016019.

It is an arithmetic number, because the mean of its divisors is an integer number (6550066016019).

Almost surely, 213100132032037 is an apocalyptic number.

It is an amenable number.

13100132032037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13100132032037 is an equidigital number, since it uses as much as digits as its factorization.

13100132032037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 13100132032037 its reverse (73023023100131), we get a palindrome (86123155132168).

The spelling of 13100132032037 in words is "thirteen trillion, one hundred billion, one hundred thirty-two million, thirty-two thousand, thirty-seven".